1 / 2 ∫ 0 1 √ 1 − X 2 D X - Mathematics

प्रश्न

\[\int\limits_0^{1/2} \frac{1}{\sqrt{1 - x^2}} dx\]

उत्तर

\[Let I = \int_0^\frac{1}{2} \frac{1}{\sqrt{1 - x^2}} d x . Then, \]
\[I = \left[ \sin^{- 1} x \right]_0^\frac{1}{2} \]
\[ \Rightarrow I = \sin^{- 1} \frac{1}{2} - \sin^{- 1} 0\]
\[ \Rightarrow I = \frac{\pi}{6} - 0\]
\[ \Rightarrow I = \frac{\pi}{6}\]

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Definite Integrals

क्या इस प्रश्न या उत्तर में कोई त्रुटि है?

Q 3 Q 2 Q 4

अध्याय 20: Definite Integrals - Exercise 20.1 [पृष्ठ १६]

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आरडी शर्मा Mathematics [English] Class 12

अध्याय 20 Definite Integrals
Exercise 20.1 | Q 3 | पृष्ठ १६

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